Log inSign up free
Back to Math

Nonlinear Functions

Math · Advanced Math · 132 questions · every one comes with a full explanation.

Practice this skill
DifficultyAllEasyMediumHard
  1. 1A rectangle has a length that is 15 times its width. The function y=15ww represents this situation, where y is the area, in square feet, of the rectangle and y>0. Which of the foMedium · Advanced Math
  2. 2Time (years) Total amount (dollars) 0 604.00 1 606.42 2 608.84 Rosa opened a savings account at a bank. The table shows the exponential relationship between the time t , in yeaMedium · Advanced Math
  3. 3A rectangular volleyball court has an area of 162 square meters. If the length of the court is twice the width, what is the width of the court, in meters?Medium · Advanced Math
  4. 4The function S above models the annual salary, in dollars, of an employee n years after starting a job, where a is a constant. If the employee's salary increases by 4% each year, wMedium · Advanced Math
  5. 5The equation above estimates the global data traffic D, in terabytes, for the year that is t years after 2010. What is the best interpretation of the number 5,640 in this context?Medium · Advanced Math
  6. 6In quadrant 3: The curve rises sharply to touch the x axis at point (negative 5 comma 0). The curve falls gradually to a relative minimum at point (negative 2 comma negative 11). Medium · Advanced Math
  7. 7In quadrant 2 the curve falls sharply to cross the x axis at point (negative 1 comma 0). In quadrant 3 the curve falls sharply to cross the y axis at point (0 comma negative 5.5). Medium · Advanced Math
  8. 8A rectangle has a length of x units and a width of x-15 units. If the rectangle has an area of 76 square units, what is the value of x ?Medium · Advanced Math
  9. 9A scientist initially measures 12,000 bacteria in a growth medium. 4 hours later, the scientist measures 24,000 bacteria. Assuming exponential growth, the formula P=C2rt gives tMedium · Advanced Math
  10. 10gx=x2+55 What is the minimum value of the given function?Medium · Advanced Math
  11. 11fx=x+6x-4 If the given function f is graphed in the xy-plane, where y=fx, what is the x-coordinate of an x-intercept of the graph?Medium · Advanced Math
  12. 12Immanuel purchased a certain rare coin on January 1. The function f(x)=651.03x, where 0≤x≤10, gives the predicted value, in dollars, of the rare coin x years after Immanuel purchaMedium · Advanced Math
  13. 13From 2005 through 2014, the number of music CDs sold in the United States declined each year by approximately 15% of the number sold the preceding year. In 2005, approximately 600 Medium · Advanced Math
  14. 14Moving from left to right: The curve is in quadrant 1. From point (0 comma 9), the curve trends down sharply. From point (5 comma 1), the curve trends down gradually. The graph gMedium · Advanced Math
  15. 15f(x)=(x+6)(x+5)(x-4) The function f is given. Which table of values represents y=f(x)-3?Medium · Advanced Math
  16. 16The product of two positive integers is 546 . If the first integer is 11 greater than twice the second integer, what is the smaller of the two integers?Medium · Advanced Math
  17. 17In the xy-plane, the y-coordinate of the y-intercept of the graph of the function f is c. Which of the following must be equal to c ?Medium · Advanced Math
  18. 18y = 0.25 x 2 - 7.5 x + 90.25 The equation gives the estimated stock price y , in dollars, for a certain company x days after a new product launched, wherMedium · Advanced Math
  19. 19For the function f defined above, what is the value of ?Medium · Advanced Math
  20. 20Which of the following is the graph in the xy-plane of the given equation?Medium · Advanced Math
  21. 21The function fw=6w2 gives the area of a rectangle, in square feet ft2, if its width is w ft and its length is 6 times its width. Which of the following is the best interpretation Medium · Advanced Math
  22. 22x fx -1 10 0 14 1 20 For the quadratic function f , the table shows three values of x and their corresponding values of fx. Which equation defines f ?Medium · Advanced Math
  23. 23An object's kinetic energy, in joules, is equal to the product of one-half the object's mass, in kilograms, and the square of the object's speed, in meters per second. What is the Medium · Advanced Math
  24. 24The height, in feet, of an object x seconds after it is thrown straight up in the air can be modeled by the function . Based on the model, which of the following statements best inMedium · Advanced Math
  25. 25An engineer wanted to identify the best angle for a cooling fan in an engine in order to get the greatest airflow. The engineer discovered that the function above models the airfloMedium · Advanced Math
  26. 26The function ft=60,0002t410 gives the number of bacteria in a population t minutes after an initial observation. How much time, in minutes, does it take for the number of bacteriaMedium · Advanced Math
  27. 27Time (years) Total amount (dollars) 0 670.00 1 674.02 2 678.06 Sara opened a savings account at a bank. The table shows the exponential relationship between the time t , in yeaMedium · Advanced Math
  28. 28A certain college had 3,000 students enrolled in 2015. The college predicts that after 2015, the number of students enrolled each year will be 2% less than the number of students eMedium · Advanced Math
  29. 29A rubber ball bounces upward one-half the height that it falls each time it hits the ground. If the ball was originally dropped from a distance of 20.0 feet above the ground, what Medium · Advanced Math
  30. 30The number of bacteria in a liquid medium doubles every day. There are 44,000 bacteria in the liquid medium at the start of an observation. Which represents the number of bacteriaMedium · Advanced Math
  31. 31fx= x 2 - 18 x - 360 If the given function f is graphed in the xy-plane, where y=fx, what is an x-intercept of the graph?Medium · Advanced Math
  32. 32The function f is defined by fx=7x3. In the xy-plane, the graph of y=gx is the result of shifting the graph of y=fx down 2 units. Which equation defines function g ?Medium · Advanced Math
  33. 33According to Moore's law, the number of transistors included on microprocessors doubles every 2 years. In 1985, a microprocessor was introduced that had 275,000 transistors. Based Medium · Advanced Math
  34. 34The function f is defined by fx=2700.1x. What is the value of f0?Medium · Advanced Math
  35. 35The function f(x)=206(1.034)x models the value, in dollars, of a certain bank account by the end of each year from 1957 through 1972 , where x is the number of years after 1957 .Medium · Advanced Math
  36. 36The function above models the height h, in feet, of an object above ground t seconds after being launched straight up in the air. What does the number 72 represent in the function?Medium · Advanced Math
  37. 37A model predicts that the population of Springfield was 15,000 in 2005. The model also predicts that each year for the next 5 years, the population p increased by 4% of the prevMedium · Advanced Math
  38. 38The function N defined above can be used to model the number of species of brachiopods at various ocean depths d, where d is in hundreds of meters. Which of the following does the Medium · Advanced Math
  39. 39gx=11 1 12 x If the given function g is graphed in the xy-plane, where y=gx, what is the y-intercept of the graph?Medium · Advanced Math
  40. 40The area A, in square centimeters, of a rectangular painting can be represented by the expression ww+29, where w is the width, in centimeters, of the painting. Which expression reMedium · Advanced Math
  41. 41A company opens an account with an initial balance of $36,100.00 . The account earns interest, and no additional deposits or withdrawals are made. The account balance is given by aMedium · Advanced Math
  42. 42The table above gives the values of the function f for some values of x. Which of the following equations could define f ?Medium · Advanced Math
  43. 43The exponential function g is defined by gx=19·ax, where a is a positive constant. If g3=2,375 , what is the value of g4?Medium · Advanced Math
  44. 44The function p is defined by pn=7n3. What is the value of n when p(n) is equal to 56 ?Medium · Advanced Math
  45. 45The equation Et=51.8t gives the estimated number of employees at a restaurant, where t is the number of years since the restaurant opened. Which of the following is the best interMedium · Advanced Math
  46. 46The function f is defined above. Which of the following is NOT an x-intercept of the graph of the function in the xy-plane?Medium · Advanced Math
  47. 47An object is kicked from a platform. The equation h=-4.9t2+7t+9 represents this situation, where h is the height of the object above the ground, in meters, t seconds after it is Medium · Advanced Math
  48. 48Bacteria are growing in a liquid growth medium. There were 300,000 cells per milliliter during an initial observation. The number of cells per milliliter doubles every 3 hours. HMedium · Advanced Math
  49. 49The area A , in square centimeters, of a rectangular cutting board can be represented by the expression ww+9, where w is the width, in centimeters, of the cutting board. Which expMedium · Advanced Math
  50. 50fx=a-19x+5 In the given function f , a is a constant. The graph of function f in the xy-plane, where y=fx, is translated 3 units down and 4 units to the right to produce the gMedium · Advanced Math
  51. 51There were no jackrabbits in Australia before 1788 when 24 jackrabbits were introduced. By 1920 the population of jackrabbits had reached 10 billion. If the population had grown exMedium · Advanced Math